Superstable groups; a partial answer to conjectures of Cherlin and Zil'ber

DOI10.1016/0168-0072(86)90036-9zbMath0599.03035OpenAlexW2052031861WikidataQ123227656 ScholiaQ123227656MaRDI QIDQ1080417

Chantal Berline

Publication date: 1986

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(86)90036-9

zbMATH Keywords

algebraically closed fieldalgebraic groupsolvable groupMorley ranksimple superstable groupsShelah degreeU- rank

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (12)

Superstable groups ⋮ IN MEMORIAM: MICHAEL MORLEY, 1930–2020 ⋮ Some structure theorems for \(\omega\)-stable groups ⋮ Simple groups and the number of countable models ⋮ Superstability and central extensions of algebraic groups ⋮ Une correspondance entre anneaux partiels et groupes ⋮ Almost orthogonal regular types ⋮ On superstable CSA-groups ⋮ Unnamed Item ⋮ Le Canada Semi-Dry ⋮ Semisimple stable and superstable groups ⋮ On sharply n-transitive superstable groups

Cites Work

• Unnamed Item
• The classification of the simple periodic linear groups
• Superstable groups
• Groups of small Morley rank
• Sous-groupes définissables d'un groupe stable
• Группы и кольца, теория которых категорична
• Superstable fields and groups

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